HiSET: Math : Spheres

Study concepts, example questions & explanations for HiSET: Math

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Example Questions

Example Question #1 : Spheres

The surface area of a sphere is equal to . Give the volume of the sphere.

Possible Answers:

Correct answer:

Explanation:

The surface area of a sphere can be calculated using the formula

Solving for :

Set and divide both sides by :

Take the square root of both sides:

Set in the volume formula:

,

the correct response.

Example Question #2 : Spheres

A sphere has surface area . Give its volume.

Possible Answers:

Correct answer:

Explanation:

The surface area of a sphere, given its radius , is equal to

Substitute for and solve for :

Divide by :

Extract the square root:

Substitute for in the volume formula:

,

the correct response.

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